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In this paper, The property of subordination is used to define the subclass F(δ, z, t), |an| bounds on the coefficients. The upper bound for the functions in this class is provided for n = 2,3,4, 5,6,7. The fourth Hankel determinant for a class F(δ, z, t) is obtained. Some new results also are obtained. [ABSTRACT FROM AUTHOR]

In this paper, we discuss and introduce a new study using an integral operator w k , μ m in geometric function theory, especially sandwich theorems. We obtained some conclusions for differential subordination and superordination for a new formula generalized integral operator. In addition, certain sandwich theorems were found. The differential subordination theory's features and outcomes are symmetric to those derived using the differential subordination theory. [ABSTRACT FROM AUTHOR]

In this research paper, we explain the use of the convexity and the starlikness properties of a given function to generate special properties of differential subordination and superordination functions in the classes of analytic functions that have the form f (z) = z + ∑n=2∞; anzn in the unit disk. We also show the significant of these properties to derive sandwich results when the Srivastava- Attiya operator Fσ,bf(z) is used. [ABSTRACT FROM AUTHOR]

The goal of the present paper is to obtain some differential subordination and superordination theorems for univalent functions related by differential operator Sα,β,λ,δk. Also, we discussed some sandwich-type results. [ABSTRACT FROM AUTHOR]

In this paper, we discuss and introduce a new study on the connection between geometric function theory, especially sandwich theorems, and Viete's theorem in elementary algebra. We obtain some conclusions for differential subordination and superordination for a new formula of complete homogeneous symmetric functions class involving an ordered cyclic operator. In addition, certain sandwich theorems are found. [ABSTRACT FROM AUTHOR]

We present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator Hα,β,δ,ξ,γ,nf(v) and offer numerous new findings for fourth-order differential subordination and superordination. The innovative discoveries presented here are connected to those mentioned in previous articles. The differential subordination theory's characteristics and outcomes are symmetric to the properties gained. Sandwich-type theorems are created by merging differential superordination theory with sandwich-type theorems. [ABSTRACT FROM AUTHOR]

The main goal of this paper is to obtain some sandwich-type results for the functions of the form: , which are meromorphic univalent in the punctured open unit disk U by using new integral operator. [ABSTRACT FROM AUTHOR]

In the present paper, we obtain sandwich theorems for univalent functions by using some results of differential subordination and superordination for univalent functions involving linear operator. [ABSTRACT FROM AUTHOR]

In the present paper, we obtain some subordination and superordination Results involving the integral operator Tα for certain normalized analytic functions in the open unit disk. These results are applied to obtain sandwich results. [ABSTRACT FROM AUTHOR]

The main idea of this paper is to derive some subordination and superordination results defined by a linear operator for multivalent functions in the open unit disk . Several sandwich-type results are also obtained. [ABSTRACT FROM AUTHOR]

In the present paper, we obtain some subordination and superordination results involving the differential operator Wj,δα,β for certain normalized analytic functions in the open unit disk. These results are applied to obtain sandwich results. [ABSTRACT FROM AUTHOR]

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In this current study, we aim to give some results for third-order differential subordination and superordination for analytic functions in U = { z ∈ ℂ : | z | < 1 }   involving the generalized operator I α , β j f . The results are derived by investigating relevant classes of admissible functions. Some new results on differential subordination and superordination with some sandwich theorems are obtained. Moreover, several particular cases are also noted. The properties and results of the differential subordination are symmetry to the properties of the differential superordination to form the sandwich theorems. [ABSTRACT FROM AUTHOR]

We present several new results for fourth-order differential subordination and superordination in this paper by using the differential linear operator Γ π , ρ , β , μ f z . Relevant connections between the new results presented here and those considered in previous works are addressed. The properties and results concerning the differential subordination theory are symmetric to the properties obtained using the differential superordination theory, and by combining them, sandwich-type theorems are obtained. [ABSTRACT FROM AUTHOR]